A Block-Sparse Tensor Train Format for Sample-Efficient High-Dimensional Polynomial Regression
Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this framework by including the concept of block-sparsity to efficiently parametrize homogeneous, multivariate polynomials with low-rank tensors. This provides a representation of...
Main Authors: | Michael Götte, Reinhold Schneider, Philipp Trunschke |
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Format: | Article |
Language: | English |
Published: |
Frontiers Media S.A.
2021-09-01
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Series: | Frontiers in Applied Mathematics and Statistics |
Subjects: | |
Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2021.702486/full |
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